Why did Weyl think that Dedekind's norm of belief in mathematics is perverse?
pp. 445-451
in: Sorin Costreie (ed), Early analytic philosophy, Berlin, Springer, 2016Abstract
This paper discusses an intriguing, though rather overlooked case of normative disagreement in the history of philosophy of mathematics: Weyl's criticism of Dedekind's famous principle that "In science, what is provable ought not to be believed without proof." This criticism, as I see it, challenges not only a logicist norm of belief in mathematics, but also a realist view about whether there is a fact of the matter as to what norms of belief are correct.
